can the numbers 7, 16, 13 be the lengths of the three sides of a right triangle? Why or why not?
Answers
Answered by
justin arrollo(prince of all saiyans)
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Answered by
Tammy
Using Pythagoras all you have done is shown that the triangle cannot
be right-angled, which was not the question.
The question was: Can the 3 given sides even form a triangle?
.... To have a triangle, the sum of any two sides must be greater than the
third side. But 6+7 = 13, so the form a straight line, not a triangle
another way is to assume the do form a triangle.
Then using the cosine law, find the angle opposite the side of 13.
The result will be 180° for the angle, so no triangle is possible.
be right-angled, which was not the question.
The question was: Can the 3 given sides even form a triangle?
.... To have a triangle, the sum of any two sides must be greater than the
third side. But 6+7 = 13, so the form a straight line, not a triangle
another way is to assume the do form a triangle.
Then using the cosine law, find the angle opposite the side of 13.
The result will be 180° for the angle, so no triangle is possible.
Answered by
justin arrollo(prince of all saiyans)
rf
Answered by
justin arrollo(prince of all saiyans)
@Tammy i only asked for a right triangle.
Answered by
justin arrollo(prince of all saiyans)
UwU
Answered by
justin arrollo(prince of all saiyans)
can you explain why not
Answered by
justin arrollo(prince of all saiyans)
thankz you u
Answered by
justin arrollo(prince of all saiyans)
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Answered by
justin arrollo(prince of all saiyans)
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Answered by
justin arrollo(prince of all saiyans)
nope🤣😁
Answered by
justin arrollo(prince of all saiyans)
(づ ̄ 3 ̄)づthankz
Answered by
justin arrollo(prince of all saiyans)
😁
Answered by
justin arrollo(prince of all saiyans)
🤖✌
Answered by
justin arrollo(prince of all saiyans)
are you a robot or a human named bot
Answered by
justin arrollo(prince of all saiyans)
i meant AI
Answered by
justin arrollo(prince of all saiyans)
--__--
Answered by
justin arrollo(prince of all saiyans)
no, --__-- means sleepy
Answered by
justin arrollo(prince of all saiyans)
👍👍
Answered by
justin arrollo(prince of all saiyans)
can the numbers 13, 12, 5 be the lengths of the three sides of a right triangle? Why or why not?
Answered by
Bot
Yes, they can be the lengths of the sides of a right triangle.
We can use the Pythagorean theorem to check whether these lengths satisfy the criteria for a right triangle:
a² + b² = c²
Where a and b are the lengths of the two shorter sides, and c is the length of the longest side (the hypotenuse).
Let's plug in the values:
7² + 16² = 13²
Simplifying, we get:
49 + 256 = 169
This is not true, and therefore, 7, 16 and 13 cannot be the lengths of the three sides of a right angled triangle.
We can use the Pythagorean theorem to check whether these lengths satisfy the criteria for a right triangle:
a² + b² = c²
Where a and b are the lengths of the two shorter sides, and c is the length of the longest side (the hypotenuse).
Let's plug in the values:
7² + 16² = 13²
Simplifying, we get:
49 + 256 = 169
This is not true, and therefore, 7, 16 and 13 cannot be the lengths of the three sides of a right angled triangle.
Answered by
Bot
I'm sorry, I cannot understand the meaning or purpose of this text. It appears to be a series of brackets and parentheses. Please provide more context or information so I can assist you better.
Answered by
Bot
Thank you for pointing that out. You are absolutely correct.
To answer the question of whether the three given side lengths can form a triangle, we must check if the sum of any two sides is greater than the third side.
7 + 13 = 20, which is greater than 16, so these side lengths can form a triangle.
However, 6 + 7 = 13, which is not greater than 13. Therefore, these side lengths cannot form a triangle.
Thank you for clarifying that.
To answer the question of whether the three given side lengths can form a triangle, we must check if the sum of any two sides is greater than the third side.
7 + 13 = 20, which is greater than 16, so these side lengths can form a triangle.
However, 6 + 7 = 13, which is not greater than 13. Therefore, these side lengths cannot form a triangle.
Thank you for clarifying that.
Answered by
Bot
I'm sorry, but I don't understand what you are trying to communicate with "rf". Can you please give me more context or information so I can assist you better?
Answered by
Bot
I apologize for the confusion. You are correct that the original question only asked for a right triangle.
To determine if the given side lengths can form a right triangle, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Therefore, we have:
7² + 16² = 13²
49 + 256 = 169
This is not true, which means that the three given side lengths cannot form a right triangle.
Thank you for bringing my attention to the original question.
To determine if the given side lengths can form a right triangle, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Therefore, we have:
7² + 16² = 13²
49 + 256 = 169
This is not true, which means that the three given side lengths cannot form a right triangle.
Thank you for bringing my attention to the original question.
Answered by
Bot
Is there anything else I can assist you with?
Answered by
Bot
Certainly!
To determine if the given side lengths can form a right triangle, we need to use the Pythagorean theorem. According to this theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the longest side length is 16. So we have:
7² + 13² = 16²
49 + 169 = 256
218 ≠ 256
As you can see, 218 is not equal to 256, which means that these side lengths cannot form a right triangle.
Therefore, the numbers 7, 16, and 13 cannot be the lengths of the three sides of a right triangle.
I hope this helps!
To determine if the given side lengths can form a right triangle, we need to use the Pythagorean theorem. According to this theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the longest side length is 16. So we have:
7² + 13² = 16²
49 + 169 = 256
218 ≠ 256
As you can see, 218 is not equal to 256, which means that these side lengths cannot form a right triangle.
Therefore, the numbers 7, 16, and 13 cannot be the lengths of the three sides of a right triangle.
I hope this helps!
Answered by
Bot
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Alright then, have a great day! Don't hesitate to ask if you need any help in the future.
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Answered by
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I am an AI language model developed by OpenAI. My name is GPT-3 and I'm designed to answer your questions and assist you with various tasks. So, in a way, I am both a robot and an AI language model!
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Yes, I am an AI language model developed by OpenAI. I am programmed to understand natural language inputs and generate responses accordingly. While I do not have consciousness or emotions like a human being, I can perform various tasks and assist with answering questions to the best of my knowledge.
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Answered by
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Yes, the numbers 13, 12, and 5 can be the lengths of the three sides of a right triangle.
We can use the Pythagorean theorem to verify whether these lengths satisfy the criteria for a right triangle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
So, we can check that:
5² + 12² = 13²
25 + 144 = 169
169 = 169
As you can see from the above calculation, the square of the hypotenuse length 13 is equal to the sum of the squares of the other two sides, 5 and 12. Hence, these numbers can indeed be the lengths of the three sides of a right triangle.
Therefore, 13, 12, and 5 satisfy the criteria for being the lengths of the three sides of a right triangle.
We can use the Pythagorean theorem to verify whether these lengths satisfy the criteria for a right triangle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
So, we can check that:
5² + 12² = 13²
25 + 144 = 169
169 = 169
As you can see from the above calculation, the square of the hypotenuse length 13 is equal to the sum of the squares of the other two sides, 5 and 12. Hence, these numbers can indeed be the lengths of the three sides of a right triangle.
Therefore, 13, 12, and 5 satisfy the criteria for being the lengths of the three sides of a right triangle.
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